Behavior of the nonunique terms in general DAE integrators

DOI10.1016/S0168-9274(98)00044-0zbMath0931.65089OpenAlexW1978261320MaRDI QIDQ1294504

K. Yeomans, Stephen L. Campbell

Publication date: 29 June 1999

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00044-0

zbMATH Keywords

indexsystems of differential-algebraic equationsGauss-Newton iterationlow-order integrators

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for differential-algebraic equations (65L80)

Related Items (3)

A new approach for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization ⋮ A minimal norm corrected underdetermined Gauß-Newton procedure ⋮ The additional dynamics of least squares completions for linear differential algebraic equations

Uses Software

• GELDA

Cites Work

• Unnamed Item
• Analytical and numerical solutions to higher index linear variable coefficient DAE systems
• Global analysis of continuous analogues of the Levenberg-Marquardt and Newton-Raphson methods for solving nonlinear equations
• Least squares completions for nonlinear differential algebraic equations
• Progress on a general numerical method for nonlinear higher index DAEs. II
• Constraint preserving integrators for general nonlinear higher index DAEs
• Jacobian reuse in explicit integrators for higher index DAEs
• Regular solutions of nonlinear differential-algebraic equations and their numerical determination
• Constrained least squares methods for linear timevarying DAE systems
• Comparing stability properties of three methods in DAEs or ODEs with invariants
• The index of general nonlinear DAEs
• A New Software Package for Linear Differential-Algebraic Equations
• ODE Methods for the Solution of Differential/Algebraic Systems
• Continuous Newton-Raphson method for solving and underdetermined system of nonlinear equations
• Utilization of automatic differentiation in control algorithms
• A New Class of Discretization Methods for the Solution of Linear Differential-Algebraic Equations with Variable Coefficients
• Solvability of General Differential Algebraic Equations

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